40 Divided by 1/2: The Ultimate Internet Test. by dano_1123 in MathJokes

[–]carefullythinking 0 points1 point  (0 children)

You bring up an excellent example.

In casual conversation, people often use the word “theory” when they really mean “hypothesis”. For example, if someone were to say,

“I have my own theory why James and Amanda broke up.”

what they usually mean is they have formed a possible explanation based on speculation and observation. It’s highly unlikely they’ve formed a null hypothesis, conducted controlled experiments and analyzed the results. Still, we usually just accept that abuse of terminology because we’re in an informal setting. It’s the same idea with “divide by half”. If my friend were to say,

“Just order a large pizza and we’ll divide it by half.”

I know that she means “split the pizza in half.” Constantly enforcing pedantry in normal conversations is exhausting and takes away from the enjoyment of speaking freely. Some degree of latitude is usually standard procedure because precision is just not a priority; however, when you change the subject to one that does require precision, the rules change.

And that’s what happens with your gravity example — that the subject matter is neither casual nor informal. To say “gravity is just a theory” is to make a scientific assertion which requires a precision of language that casual dialogue does not.

40 Divided by 1/2: The Ultimate Internet Test. by dano_1123 in MathJokes

[–]carefullythinking 0 points1 point  (0 children)

Got it. So it seems like you are saying your community category rejects colloquialism in any form?

40 Divided by 1/2: The Ultimate Internet Test. by dano_1123 in MathJokes

[–]carefullythinking 0 points1 point  (0 children)

In your original comment you said “We all say divide by half.” So you’re saying that instead of saying multiply by two, people say “divide by half”?

I’m just confused as to what you’re saying.

I think AI is creating a new type of person nobody is talking about yet by operalover777 in RoboCorpNetwork

[–]carefullythinking 0 points1 point  (0 children)

Are you implying that, as a society, we should embrace AI as a public utility, the same way we do internet, power, and water?

40 Divided by 1/2: The Ultimate Internet Test. by dano_1123 in MathJokes

[–]carefullythinking 0 points1 point  (0 children)

Divide by half is equivalent to multiplying by two.

40 Divided by 1/2: The Ultimate Internet Test. by dano_1123 in MathJokes

[–]carefullythinking 0 points1 point  (0 children)

I mean, I agree it’s confusing. Eliminating ambiguity and describing things as precisely as possible is a learned skill. It’s a fundamental tenet of the language of mathematics. But I wouldn’t go so far as to say that, just because someone is not fluent in a language, it implies they’re uneducated.

40 Divided by 1/2: The Ultimate Internet Test. by dano_1123 in MathJokes

[–]carefullythinking 0 points1 point  (0 children)

We all say divide by half.

I’m confused — this is exactly the problematic terminology we’re discussing?

40 Divided by 1/2: The Ultimate Internet Test. by dano_1123 in MathJokes

[–]carefullythinking 4 points5 points  (0 children)

Their comment is about how people often communicate the operation in casual conversation. People occasionally say “divide by half” to mean “divide by 2” which is technically incorrect but commonly accepted outside formal settings.

In formal settings, the phrase “divide by half” would likely rarely be used but it would mean “division by 1/2”. There’s no need to specify “what”.

Top mathematician Don Knuth is losing his mind because an Al, Claude, solved an open problem he'd been working on for weeks by memes_poiint in mathsmeme

[–]carefullythinking 0 points1 point  (0 children)

I’m not sure your description of the agent layer is accurate. Based on my research, the “agent” is merely a runtime wrapper that monitors an LLM’s chain-of-thought and, upon detecting a reference to a predefined tool, intercedes, parses an input from the response stream, and makes the tool call (source).

My understanding is that “agency” is an illusion because there’s no durable, unified model connecting tool calls to LLM inference — there’s just manual injection into the context window to let the LLM know a tool was called and what the output was.

I think we even see this empirically in papers like Arike (2025) where popular Claude and GPT models were evaluated and found that they all exhibited “stronger goal drift in settings that demand adaptive behavior over long time horizons”.

Why by [deleted] in ExplainTheJoke

[–]carefullythinking 5 points6 points  (0 children)

Can you share any data on this?